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Finding the Fourth Proportional to 1,169.32, 1,752.72 and 519.16

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Solution

The fourth proportional to 1,169.32, 1,752.72 and 519.16 is: 778.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.32 : 1,752.72 = 519.16 : x
  2. Step 2: Convert to fraction form
    1,169.32/1,752.72 = 519.16/x
  3. Step 3: Cross multiply
    1,169.32x = 1,752.72 × 519.16
  4. Step 4: Simplify right side
    1,169.32x = 909,942.12
  5. Step 5: Solve for x
    x = 909,942.12/1,169.32
  6. Step 6: Final answer
    x = 778.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.